2020/12/31 by Patrick Wilhelm, Thomas C. Lang, Andreas M. Läuchli
Materials Science · Physics and Astronomy · #Berry connection and curvature #Bilayer graphene #Condensed matter physics #Coulomb #Electron #Geometric phase #Graphene #Graphene research and applications #Heterojunction #Insulator (electricity) #Materials science #Optoelectronics #Phase (matter) #Phase diagram #Physics #Quantum and electron transport phenomena #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.103.125406
published as Phys. Rev. B 103, 125406 (2021) · 16 pages, 18 figures
openalex publication_date 2021/03/03 · arxiv created 2021/03/04 · arxiv updated 2021/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Large-scale exact diagonalization reveals the competition between fractional Chern insulator and charge density wave states in a realistic spin- and valley-polarized single-band model for twisted bilayer graphene aligned with its hexagonal boron nitride substrate. While charge-ordered ground states are found across a whole range of filling fractions, consistent with experimental results in related moir'e heterostructures, the interplay of the Berry curvature with the nontrivial single-particle dispersions may lead to the formation of topologically nontrivial correlated states at \ensuremathν=1/3 as well as \ensuremathν=2/5.